See Conditional Probability Tree at https://www.cuemath.com/data/probability-tree-diagram/chwala said:
The probability of a single event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Mathematically, it is represented as P(A) = Number of favorable outcomes / Total number of possible outcomes.
The probability of multiple independent events occurring is found by multiplying the probabilities of each individual event. If events A and B are independent, then P(A and B) = P(A) * P(B).
Independent events are those whose outcomes do not affect each other. In contrast, dependent events are those where the outcome of one event affects the probability of the other. For independent events, P(A and B) = P(A) * P(B), while for dependent events, P(A and B) = P(A) * P(B|A).
For two mutually exclusive events, the probability of either event occurring is the sum of their individual probabilities. If events A and B are mutually exclusive, then P(A or B) = P(A) + P(B).
Conditional probability is the probability of an event occurring given that another event has already occurred. It is calculated using the formula P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of event A occurring given that event B has occurred.
